112301221032000 has 5376 divisors, whose sum is σ = 578350676606976. Its totient is φ = 20035952640000.

The previous prime is 112301221031971. The next prime is 112301221032029. The reversal of 112301221032000 is 230122103211.

112301221032000 is a `hidden beast` number, since 1 + 12 + 301 + 22 + 10 + 320 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112301221031971) and next prime (112301221032029).

It is a super-2 number, since 2×112301221032000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 61333271085 + ... + 61333272915.

It is an arithmetic number, because the mean of its divisors is an integer number (107580110976).

Almost surely, 2^{112301221032000} is an apocalyptic number.

112301221032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112301221032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289175338303488).

112301221032000 is an abundant number, since it is smaller than the sum of its proper divisors (466049455574976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112301221032000 is a wasteful number, since it uses less digits than its factorization.

112301221032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112301221032000 its reverse (230122103211), we get a palindrome (112531343135211).

The spelling of 112301221032000 in words is "one hundred twelve trillion, three hundred one billion, two hundred twenty-one million, thirty-two thousand".